Cyclic Composition operators on Segal-Bargmann space
نویسندگان
چکیده
Abstract We study the cyclic, supercyclic and hypercyclic properties of a composition operator C ϕ on Segal-Bargmann space ℋ(ℰ), where ( z ) = Az + b , A is bounded linear ℰ, ∈ ℰ with || ⩽ 1 * belongs to range I – )½. Specifically, under some conditions symbol we show that if cyclic then A* but converse need not be true. also cyclic. Further there no ℋ(ℰ) for certain class symbols .
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ژورنال
عنوان ژورنال: Concrete Operators
سال: 2022
ISSN: ['2299-3282']
DOI: https://doi.org/10.1515/conop-2022-0133